Question

In the diagram, the measurements that are labeled are known, while the other measurements are unknown. Which measurement of acute triangle ABC can you find by direct substitution of the labeled measures in the Law of Sines?

A.c

B.m/_C

C.m/_B

D.none

Answer 1

Answer: C.m/_B

Explanation:

Answer 2

as the sine rule states,

A/sina = B/sinb = C/sinc .

in the diagram, there are two identified sides and if you use the sine rule, you can find the opposed angles easily.

there are:

side a, with angle â .
side b, with angle b.

so the answer is C.

if you input these into the sine rule, it would be:

a/ sin a = b/sin b